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Finding the Third Proportional to 136,314 and 209,236.50

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Solution

The third proportional to 136,314 and 209,236.50 is: 321,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,314 : 209,236.50 = 209,236.50 : x
  2. Step 2: Convert to fraction form
    136,314/209,236.50 = 209,236.50/x
  3. Step 3: Cross multiply
    136,314x = 209,236.50 × 209,236.50
  4. Step 4: Simplify right side
    136,314x = 43,779,912,932.25
  5. Step 5: Solve for x
    x = 43,779,912,932.25/136,314
  6. Step 6: Final answer
    x = 321,169.60

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.